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11130768 = 2432117027
BaseRepresentation
bin101010011101…
…011110010000
3202221111112200
4222131132100
510322141033
61034323200
7163416135
oct52353620
922844480
1011130768
116312790
123889500
1323c946c
14169a58c
15e9d013
hexa9d790

11130768 has 60 divisors (see below), whose sum is σ = 33987408. Its totient is φ = 3372480.

The previous prime is 11130761. The next prime is 11130787. The reversal of 11130768 is 86703111.

11130768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11130761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1930 + ... + 5097.

Almost surely, 211130768 is an apocalyptic number.

11130768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11130768 is an abundant number, since it is smaller than the sum of its proper divisors (22856640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11130768 is a wasteful number, since it uses less digits than its factorization.

11130768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11130768 is about 3336.2805637416. The cubic root of 11130768 is about 223.2758288621.

Adding to 11130768 its reverse (86703111), we get a palindrome (97833879).

The spelling of 11130768 in words is "eleven million, one hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7027 14054 21081 28108 42162 56216 63243 77297 84324 112432 126486 154594 168648 231891 252972 309188 337296 463782 505944 618376 695673 927564 1011888 1236752 1391346 1855128 2782692 3710256 5565384 11130768